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Angles of contact of three liquids of the same surface tension that rise equally in identical capillaries

The same question, asked 4 times: 9 May 2023 S2*, 10 May 2024 S1*, 13 Apr 2026 S1*, 15 Apr 2026 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    9 May 2023 S2

    3
    Three liquids of densities ρ1,ρ2\rho_1, \rho_2 and ρ3\rho_3 (with ρ1>ρ2>ρ3\rho_1 > \rho_2 > \rho_3) having same value of surface tension T, rise to the same height in three identical capillaries. Angle of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 respectively obey

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  2. Question 2

    10 May 2024 S1

    23
    Three liquids have the same surface tension and densities ρ1,ρ2\rho_1, \rho_2 and ρ3\rho_3 (ρ1>ρ2>ρ3\rho_1 > \rho_2 > \rho_3). In three identical capillaries the rise of liquid is the same. The corresponding angles of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 are related as

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  3. Question 3

    13 Apr 2026 S1

    111
    Three liquids have same surface tension and have densities ρ1,ρ2\rho_1, \rho_2 and ρ3\rho_3 (ρ1>ρ2>ρ3)(\rho_1 > \rho_2 > \rho_3). In three identical capillaries rise of liquid is same. The corresponding angles of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 are related as

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  4. Question 4

    15 Apr 2026 S2

    110
    Three liquids have same surface tension and densities ρ1,ρ2\rho_1, \rho_2 and ρ3\rho_3 (ρ1<ρ2<ρ3)(\rho_1 < \rho_2 < \rho_3). In three identical capillaries rise of liquid is same. The corresponding angle of contact θ1,θ2\theta_1, \theta_2 and θ3\theta_3 are related as

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